Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales

Advances in Difference Equations

Kaihong Zhao¹ 

[1] Department of Applied Mathematics, Kunming University of Science and Technology, Yunnan, P.R. China

关键词: positive periodic solution;    Lotka-Volterra-like system;    impulsive and time-delay functional differential equation;    theorem of strict-set contractions;    time scale;    34K13;    34N05;    26E70;   

DOI  :  10.1186/s13662-017-1381-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence of periodic solutions. As applications, the existence of positive periodic solutions is given for some common Lotka-Volterra systems on time scales.

【 授权许可】

CC BY